You can get to the Austria Classic Hotel Wien from the Vienna airport (Wien-Schwechat) by:
Take the Citytrain to the "Wien Praterstern" station; the Hotel is a short walk away from there. The price per trip is just Euro 4,10; the trip takes about 30 minutes.
Click on the following link: train schedule, choose your language and enter "Flughafen Wien" in the field "from" and "Wien Praterstern" in the field "to" as well as your arrival day and arrival time. Then search for your connection and choose one of the "ÖBB"-connections where you do not have to change (see "Change" 0).
With the CAT to City Air Terminal "Wien Mitte" (Euro 12,-) and then with the City Train ("Schnellbahn") one stop to "Wien Praterstern" (Euro 2,40) CAT City Airport Train.
By bus to "Schwedenplatz/Morzinplatz" (Euro 8,-) then you may either take a Taxi to the hotel approx. Euro 10,- or take the Underground U1 (direction "Leopoldau") and exit after 1 stop at "Nestroyplatz" Euro 2,40.
Approx. Euro 40,-